Application of the extended finite element method to interface crack problem between two dissimilar magnetoelectroelastic materials

Abstract

An interface crack problem in magnetoelectroelastic biomaterial is analyzed by means of the extended finite element method (X-FEM). In X-FEM, crack modeling is facilitated by introducing the Heaviside function and the crack-tip asymptotic functions to classical finite element approximation based on the framework of partition of unity. In this study, the computation of fracture parameter using the domain form of the contour integral is presented. The effects of integral domain, mesh intensity, topological enrichment and geometrical enrichment on the accuracy of J integral is investigated. Additionally, the comparison of computational efficiency between structural mesh and mesh with local refinement is carried out. The accuracy and reliability of X-FEM are demonstrated through comparison with the analytical solutions.